Continuous and proper decompositions
نویسندگان
چکیده
منابع مشابه
Decompositions of Proper Scores
Scoring rules are an important tool for evaluating the performance of probabilistic forecasts. A popular example is the Brier score, which allows for a decomposition into terms related to the sharpness (or information content) and to the reliability of the forecast. This feature renders the Brier score a very intuitive measure of forecast quality. In this paper, it is demonstrated that all stri...
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In recent years, the research focus in multi-objective optimization has shifted from approximating the Pareto optimal front in its entirety to identifying solutions that are well-balanced among their objectives. Proper Pareto optimality is an established concept for eliminating Pareto optimal solutions that exhibit unbounded tradeoffs. Imposing a strict tradeoff bound allows specifying how many...
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Proper generalised decompositions (PGDs) are a family of methods for efficiently solving high-dimensional PDEs. Convergence of PGD algorithms can be proven provided that the weak form of the PDE can be recast as the minimisation of some energy functional. A large number of elliptic problems, such as the Stokes problem, cannot be guaranteed to converge when employing a Galerkin PGD. Least-square...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1971
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1971-0273583-4